Find the Standardized Test Statistic, T, to Test the Claim $\mu _ { 1 } = \mu _ { 2 }$

Multiple Choice

Find the standardized test statistic, t, to test the claim that $\mu _ { 1 } = \mu _ { 2 }$ Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that $\sigma \sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 14 & \mathrm { n } _ { 2 } = 12 \\\overline { \mathrm { x } _ { 1 } } = 14 & \overline { \mathrm { x } 2 } = 15 \\\mathrm {~s} _ { 1 } = 2.5 & \mathrm {~s} _ { 2 } = 2.8\end{array}$$

A) -0.962
B) -0.813
C) -1.326
D) -1.101